through the surface of the gaussian sphere
as a function of r for r < a. (b) Find an
expression for the electric flux for r > a. (c)
Plot the flux versus r.
35.
A uniformly charged, straight
filament 7.00 m in length has a total
positive charge of 2.00 Î¼C. An uncharged
cardboard cylinder 2.00 cm in length and
10.0 cm in radius surrounds the filament at
its center, with the filament as the axis of
the cylinder. Using reasonable
approximations, find (a) the electric field at
the surface of the cylinder and (b) the total
electric flux through the cylinder.
36.
An insulating sphere is 8.00 cm in
diameter and carries a 5.70-Î¼C charge
uniformly distributed throughout its
interior volume. Calculate the charge
enclosed by a concentric spherical surface
with radius (a) r = 2.00 cm and (b) r = 6.00
cm.
37.
A large flat horizontal sheet of
charge has a charge per unit area of 9.00
Î¼C/m2. Find the electric field just above the
middle of the sheet.
38.
The charge per unit length on a long,
straight filament is â90.0 Î¼C/m. Find the
electric field (a) 10.0 cm, (b) 20.0 cm, and (c)
100 cm from the filament, where distances
are measured perpendicular to the length of
the filament.
Section 24.4 Conductors in Electrostatic
Equilibrium
39.
A long, straight metal rod has a
radius of 5.00 cm and a charge per unit
length of 30.0 nC/m. Find the electric field
(a) 3.00 cm, (b) 10.0 cm, and (c) 100 cm from
the axis of the rod, where distances are
measured perpendicular to the rod.
40.
On a clear, sunny day, a vertical
electric field of about 130 N/C points down
over flat ground. What is the surface charge
density on the ground for these conditions?
41.
A very large, thin, flat plate of
aluminum of area A has a total charge Q
uniformly distributed over its surfaces.
Assuming the same charge is spread
uniformly over the upper surface of an
otherwise identical glass plate, compare the
electric fields just above the center of the
upper surface of each plate.
42.
A solid copper sphere of radius 15.0
cm carries a charge of 40.0 nC. Find the
electric field (a) 12.0 cm, (b) 17.0 cm, and (c)
75.0 cm from the center of the sphere. (d)
What If? How would your answers change
if the sphere were hollow?
43.
A square plate of copper with 50.0cm sides has no net charge and is placed in
a region of uniform electric field of 80.0
kN/C directed perpendicularly to the plate.
Find (a) the charge density of each face of
the plate and (b) the total charge on each
face.
44.
A solid conducting sphere of radius
2.00 cm has a charge of 8.00 Î¼C. A
conducting spherical shell of inner radius